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Finding the Third Proportional to 84,783 and 131,361

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Solution

The third proportional to 84,783 and 131,361 is: 203,527.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,783 : 131,361 = 131,361 : x
  2. Step 2: Convert to fraction form
    84,783/131,361 = 131,361/x
  3. Step 3: Cross multiply
    84,783x = 131,361 × 131,361
  4. Step 4: Simplify right side
    84,783x = 17,255,712,321
  5. Step 5: Solve for x
    x = 17,255,712,321/84,783
  6. Step 6: Final answer
    x = 203,527.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.